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Finding the Third Proportional to 145,246.50 and 319,248

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Solution

The third proportional to 145,246.50 and 319,248 is: 701,698.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,246.50 : 319,248 = 319,248 : x
  2. Step 2: Convert to fraction form
    145,246.50/319,248 = 319,248/x
  3. Step 3: Cross multiply
    145,246.50x = 319,248 × 319,248
  4. Step 4: Simplify right side
    145,246.50x = 101,919,285,504
  5. Step 5: Solve for x
    x = 101,919,285,504/145,246.50
  6. Step 6: Final answer
    x = 701,698.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.